Chen, Jinshu; Tang, Yuling Bochner integration of operator-valued functions in terms of discrete-time normal martingales. (Chinese. English summary) Zbl 07793069 Chin. J. Appl. Probab. Stat. 39, No. 3, 436-448 (2023). MSC: 46G10 PDFBibTeX XMLCite \textit{J. Chen} and \textit{Y. Tang}, Chin. J. Appl. Probab. Stat. 39, No. 3, 436--448 (2023; Zbl 07793069) Full Text: Link
Chen, Jinshu; Hai, Shexiang Ergodicity of exclusion semigroups constructed from quantum Bernoulli noises. (English) Zbl 1528.46051 Stoch. Dyn. 23, No. 3, Article ID 2350023, 21 p. (2023). MSC: 46L53 46L55 47D07 47N50 60H40 PDFBibTeX XMLCite \textit{J. Chen} and \textit{S. Hai}, Stoch. Dyn. 23, No. 3, Article ID 2350023, 21 p. (2023; Zbl 1528.46051) Full Text: DOI
Han, Qi; Han, Yanan; Kou, Yaxin; Lu, Ziqiang Quantum mutual entropy in terms of local quantum Bernoulli noises. (English) Zbl 07649625 Commun. Stat., Theory Methods 52, No. 3, 515-522 (2023). MSC: 60H40 46E35 PDFBibTeX XMLCite \textit{Q. Han} et al., Commun. Stat., Theory Methods 52, No. 3, 515--522 (2023; Zbl 07649625) Full Text: DOI
Han, Qi; Kou, Yaxin; Bai, Ning; Wang, Huan The continuous-time quantum walk on some graphs based on the view of quantum probability. (English) Zbl 1510.81011 Int. J. Quantum Inf. 20, No. 6, Article ID 2250015, 13 p. (2022). MSC: 81P05 46L45 35P05 60G50 60J25 81Q35 PDFBibTeX XMLCite \textit{Q. Han} et al., Int. J. Quantum Inf. 20, No. 6, Article ID 2250015, 13 p. (2022; Zbl 1510.81011) Full Text: DOI
Zhang, Jing; Wang, Caishi; Zhang, Lu; Zhang, Lixia Spectral integrals of Bernoulli generalized functionals. (English) Zbl 1495.60047 Stochastics 94, No. 4, 519-536 (2022). MSC: 60H07 60H40 46F05 46G12 PDFBibTeX XMLCite \textit{J. Zhang} et al., Stochastics 94, No. 4, 519--536 (2022; Zbl 1495.60047) Full Text: DOI arXiv
Han, Qi; Chen, Zhihe; Lu, Ziqiang Quantum entropy in terms of local quantum Bernoulli noises and related properties. (English) Zbl 07533579 Commun. Stat., Theory Methods 51, No. 12, 4210-4220 (2022). MSC: 60H40 46E35 PDFBibTeX XMLCite \textit{Q. Han} et al., Commun. Stat., Theory Methods 51, No. 12, 4210--4220 (2022; Zbl 07533579) Full Text: DOI
Chen, Jinshu Quantum Feller semigroup in terms of quantum Bernoulli noises. (English) Zbl 1498.46068 Stoch. Dyn. 21, No. 4, Article ID 2150015, 15 p. (2021). MSC: 46L53 46L60 46L55 47N50 81P16 PDFBibTeX XMLCite \textit{J. Chen}, Stoch. Dyn. 21, No. 4, Article ID 2150015, 15 p. (2021; Zbl 1498.46068) Full Text: DOI
Jinshu, Chen The Bochner-convolution integral for generalized functional-valued functions of discrete-time normal martingales. (English) Zbl 1460.60073 Turk. J. Math. 44, No. 3, 698-711 (2020). MSC: 60H40 60G42 46G10 PDFBibTeX XMLCite \textit{C. Jinshu}, Turk. J. Math. 44, No. 3, 698--711 (2020; Zbl 1460.60073) Full Text: DOI
Kang, Yuanbao Quantum stopping times stochastic integral in the interacting Fock space. (English) Zbl 1322.81058 J. Math. Phys. 56, No. 8, 083508, 19 p. (2015). MSC: 81S25 46L51 46L53 60G40 60H20 46L60 PDFBibTeX XMLCite \textit{Y. Kang}, J. Math. Phys. 56, No. 8, 083508, 19 p. (2015; Zbl 1322.81058) Full Text: DOI
Wang, Caishi; Zhang, Jihong Wick analysis for Bernoulli noise functionals. (English) Zbl 1307.46031 J. Funct. Spaces 2014, Article ID 727341, 7 p. (2014). MSC: 46F12 60H40 PDFBibTeX XMLCite \textit{C. Wang} and \textit{J. Zhang}, J. Funct. Spaces 2014, Article ID 727341, 7 p. (2014; Zbl 1307.46031) Full Text: DOI
Han, Qi; Wang, Caishi; Zhou, Yulan Convolution of functionals of discrete-time normal martingales. (English) Zbl 1267.60079 Bull. Aust. Math. Soc. 86, No. 2, 224-231 (2012). Reviewer: Nicko G. Gamkrelidze (Moskva) MSC: 60H40 46E30 60G42 PDFBibTeX XMLCite \textit{Q. Han} et al., Bull. Aust. Math. Soc. 86, No. 2, 224--231 (2012; Zbl 1267.60079) Full Text: DOI
Wang, Caishi; Han, Qi Coherent states in Bernoulli noise functionals. (English) Zbl 1220.60041 Bull. Aust. Math. Soc. 84, No. 1, 116-126 (2011). MSC: 60H40 46E30 81S25 PDFBibTeX XMLCite \textit{C. Wang} and \textit{Q. Han}, Bull. Aust. Math. Soc. 84, No. 1, 116--126 (2011; Zbl 1220.60041) Full Text: DOI
Wang, Caishi Properties of delta functions of a class of observables on white noise functionals. (English) Zbl 1154.60339 J. Math. Anal. Appl. 329, No. 2, 913-921 (2007). MSC: 60H40 46F25 PDFBibTeX XMLCite \textit{C. Wang}, J. Math. Anal. Appl. 329, No. 2, 913--921 (2007; Zbl 1154.60339) Full Text: DOI
Wang, Cai Shi; Huang, Zhiyuan A moment characterization of \(B\)-valued generalized functionals of white noise. (English) Zbl 1101.60051 Acta Math. Sin., Engl. Ser. 22, No. 1, 157-168 (2006). MSC: 60H40 46F25 PDFBibTeX XMLCite \textit{C. S. Wang} and \textit{Z. Huang}, Acta Math. Sin., Engl. Ser. 22, No. 1, 157--168 (2006; Zbl 1101.60051) Full Text: DOI
Wang, Caishi; Huang, Zhiyuan; Wang, Xiangjun Analytic characterization for Hilbert-Schmidt operators on Fock space. (English) Zbl 1082.81056 Acta Math. Sin., Engl. Ser. 21, No. 4, 787-796 (2005). Reviewer: Franco Fagnola (Genova) MSC: 81S25 46F25 46G20 60H40 PDFBibTeX XMLCite \textit{C. Wang} et al., Acta Math. Sin., Engl. Ser. 21, No. 4, 787--796 (2005; Zbl 1082.81056) Full Text: DOI